Here is the full list of all 39 Bombshell achievements.
Used Amiga to get out of a trap
Reached Level 5 without dying once
Reunite with General Holloway
Raise Confidence to the maximum level
Used all heat generators
Collected each artifact at least once.
Use 10 Power Enhancers
Buy each shop item at least once
Raise Defense to the maximum level
Finish Episode 3 on Normal
Finish Episode 3 on Hard
Collect 50000 KY
Raise Vitality to the maximum level
Reach Level 20
Finish Episode 2 on Normal
Finish Episode 2 on Hard
Died 50 times
Killed 50 enemies with amiga
Finish Episode 1 on Normal
Finish Episode 1 on Hard
Kill 10 enemies with humiliation moves
Distract 5 enemies with the holo bombshell
Reach Level 10
Killed 50 insects
Kill 50 enemies with the Ion Maiden
Killed yourself with the bowlingbomb
Kill 10 enemies with the bowling bomb
Kill 100 enemies
Kill 10 enemies with the mighty fist
Kill 10 enemies with powers
Finish the Whitehouse Prologue on Normal
Finish the Whitehouse Prologue on Hard
Reach Level 30
Finish all subquests in the game
Completed the game once without using any powerup
Raise one of the weapons to the maximum level
Complete all Heskel Challenges
Find all Datalogs
Collect all other trophies